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Finding the Fourth Proportional to 810.41, 1,214.70 and 348.40

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Solution

The fourth proportional to 810.41, 1,214.70 and 348.40 is: 522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.41 : 1,214.70 = 348.40 : x
  2. Step 2: Convert to fraction form
    810.41/1,214.70 = 348.40/x
  3. Step 3: Cross multiply
    810.41x = 1,214.70 × 348.40
  4. Step 4: Simplify right side
    810.41x = 423,201.69
  5. Step 5: Solve for x
    x = 423,201.69/810.41
  6. Step 6: Final answer
    x = 522.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.